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Finding the Third Proportional to 72,103,589,890.50 and 105,995,475,741

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Solution

The third proportional to 72,103,589,890.50 and 105,995,475,741 is: 155,818,051,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,103,589,890.50 : 105,995,475,741 = 105,995,475,741 : x
  2. Step 2: Convert to fraction form
    72,103,589,890.50/105,995,475,741 = 105,995,475,741/x
  3. Step 3: Cross multiply
    72,103,589,890.50x = 105,995,475,741 × 105,995,475,741
  4. Step 4: Simplify right side
    72,103,589,890.50x = 11,235,040,877,560,920,539,136
  5. Step 5: Solve for x
    x = 11,235,040,877,560,920,539,136/72,103,589,890.50
  6. Step 6: Final answer
    x = 155,818,051,426.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.